Spectral and functional inequalities on antisymmetric functions

Authors

  • A. Laptev
    Imperial College London, UK
    Sirius Mathematics Center, Sirius University of Science and Technology
  • I.A. Shcherbakov
    Sirius Mathematics Center, Sirius University of Science and Technology

DOI:

https://doi.org/10.13108/2025-17-1-138

Keywords:

Schrödinger operators, Lieb - Thirring and Cwikel - Lieb - Rozenblum inequalities, Sobolev and Hardy inequatilies

Abstract

We obtain a number of spectral and functional inequalities related to Schrödinger operators defined on antisymmetric functions. Among them are Lieb —Thirring and CLR inequalities. Besides, we find new constants for the
Sobolev and the Gagliardo — Nirenberg inequalities restricted to antisymmetric functions.

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Published

26.03.2025

Issue

Vol. 17 No. 1 (2025): Ufa Mathematical Journal 2025, volume 17, issue 1

Section

Article